Low-scale supersymmetry from inflation

Abstract

We investigate an inflation model with the inflaton being identified with a Higgs boson responsible for the breaking of U(1) B−L symmetry. We show that supersymmetry must remain a good symmetry at scales one order of magnitude below the inflation scale, in order for the inflation model to solve the horizon and flatness problems, as well as to account for the observed density perturbation. The upper bound on the soft supersymmetry breaking mass lies between 1 TeV and 10 3 TeV. Interestingly, our finding opens up a possibility that universes with the low-scale supersymmetry are realized by the inflationary selection. Our inflation model has rich implications; non-thermal leptogenesis naturally works, and the gravitino and moduli problems as well as the moduli destabilization problem can be solved or ameliorated; the standard-model higgs boson receives a sizable radiative correction if the supersymmertry breaking takes a value on the high side ∼ 10 3 TeV.

Higgs mass and inflation

“…Instead, let us focus on a new inflation model recently proposed by the present authors [2], in which the B−L Higgs boson plays the role of the inflaton. The theoretical framework is the minimal extension of the standard model (SM), namely, SM + right-handed neutrinos + gauged U(1) B−L .…”

“…In Ref. [2] it has been shown that the inflation model using the B−L Higgs boson works successfully if there is supersymmetry (SUSY) at a scale below ∼ 10 3 TeV = PeV. The presence of SUSY below the PeV scale is crucial for canceling the Coleman-Weinberg (CW) potential [5] arising from the B−L gauge boson loop.…”

“…[2]. We present here the non-SUSY version for simplicity, although it is possible to write down the model in a supersymmetric language 3 .…”

“…The coupling constant y N is expected to be order unity for the heaviest ν R . The non-thermal leptogenesis [10] works successfully for n ≥ 3 [2]. So we focus on the case of n ≥ 3, although we include the case of n = 2 in our analysis for completeness.…”

“…One way to cancel or suppress the CW potential is to introduce SUSY. The successful inflationary dynamics requires the following inequality to be satisfied [2]:…”